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81157296 = 24311281547
BaseRepresentation
bin1001101011001…
…01110010110000
312122201012212210
410311211302300
5131234013141
612015252120
72003553123
oct465456260
9178635783
1081157296
11418a1750
122321a040
1313a7708c
14aac83ba
1571d1916
hex4d65cb0

81157296 has 80 divisors (see below), whose sum is σ = 229949568. Its totient is φ = 24460800.

The previous prime is 81157291. The next prime is 81157313. The reversal of 81157296 is 69275118.

It is not an unprimeable number, because it can be changed into a prime (81157291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148095 + ... + 148641.

Almost surely, 281157296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81157296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114974784).

81157296 is an abundant number, since it is smaller than the sum of its proper divisors (148792272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81157296 is a wasteful number, since it uses less digits than its factorization.

81157296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 81157296 is about 9008.7344283201. The cubic root of 81157296 is about 432.9547641763.

The spelling of 81157296 in words is "eighty-one million, one hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 281 528 547 562 843 1094 1124 1641 1686 2188 2248 3091 3282 3372 4376 4496 6017 6182 6564 6744 8752 9273 12034 12364 13128 13488 18051 18546 24068 24728 26256 36102 37092 48136 49456 72204 74184 96272 144408 148368 153707 288816 307414 461121 614828 922242 1229656 1690777 1844484 2459312 3381554 3688968 5072331 6763108 7377936 10144662 13526216 20289324 27052432 40578648 81157296